To find the surface area of a cylinder, we use the formula:
Surface Area = 2πr² + 2πrh
Where r is the radius of the base, and h is the height of the cylinder.
In this case, the base radius (r) is 4, and the height (h) is 5. Plugging these values into the formula gives us:
Surface Area = 2π(4)² + 2π(4)(5)
Calculating the first part:
2π(4)² = 2π(16) = 32π
Now, calculating the second part:
2π(4)(5) = 40π
Now, we can combine these two results:
Surface Area = 32π + 40π = 72π
So, the exact surface area in terms of π is 72π square units.
If we use 3.14 for π, we can calculate the approximate surface area:
Surface Area ≈ 72 × 3.14 = 226.08 square units.
Therefore, the surface area of the cylinder can either be expressed exactly as 72π or approximately as 226.08 when using 3.14 for π.